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Finding the Fourth Proportional to 105,677.50, 158,516.34 and 26,791.60

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Solution

The fourth proportional to 105,677.50, 158,516.34 and 26,791.60 is: 40,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,677.50 : 158,516.34 = 26,791.60 : x
  2. Step 2: Convert to fraction form
    105,677.50/158,516.34 = 26,791.60/x
  3. Step 3: Cross multiply
    105,677.50x = 158,516.34 × 26,791.60
  4. Step 4: Simplify right side
    105,677.50x = 4,246,906,374.74
  5. Step 5: Solve for x
    x = 4,246,906,374.74/105,677.50
  6. Step 6: Final answer
    x = 40,187.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.